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Finding the Fourth Proportional to 590,598.40, 814,742.40 and 386,559.52

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Solution

The fourth proportional to 590,598.40, 814,742.40 and 386,559.52 is: 533,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,598.40 : 814,742.40 = 386,559.52 : x
  2. Step 2: Convert to fraction form
    590,598.40/814,742.40 = 386,559.52/x
  3. Step 3: Cross multiply
    590,598.40x = 814,742.40 × 386,559.52
  4. Step 4: Simplify right side
    590,598.40x = 314,946,431,067.65
  5. Step 5: Solve for x
    x = 314,946,431,067.65/590,598.40
  6. Step 6: Final answer
    x = 533,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.